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Finding the Fourth Proportional to 5,165.44, 7,747.30 and 2,391.88

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Solution

The fourth proportional to 5,165.44, 7,747.30 and 2,391.88 is: 3,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.44 : 7,747.30 = 2,391.88 : x
  2. Step 2: Convert to fraction form
    5,165.44/7,747.30 = 2,391.88/x
  3. Step 3: Cross multiply
    5,165.44x = 7,747.30 × 2,391.88
  4. Step 4: Simplify right side
    5,165.44x = 18,530,611.92
  5. Step 5: Solve for x
    x = 18,530,611.92/5,165.44
  6. Step 6: Final answer
    x = 3,587.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.